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Boats and Streams for SSC CGL | Concepts & Practice | SSC CGL Quantitative Aptitude

Build Boats and Streams accuracy for SSC CGL with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC CGL Quantitative Aptitude. 21 active practice questions. 1 subject mock. Related topics: Probability, Quadratic Equations, Percentage.

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Quick Summary Free

Boats and Streams at a glance

Boats and Streams revision for SSC CGL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Concept

Core idea

Boats and Streams questions combine speed with current. Downstream speed increases because the stream assists the boat; upstream speed decreases because the stream opposes it.

SSC CGL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Short Notes

Fast revision notes

Boats and Streams revision rule: concept → formula/relation → one worked example → timed practice → error review.

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • Downstream = Boat speed + Stream speed
  • Upstream = Boat speed - Stream speed
  • Boat speed = (Downstream + Upstream)/2
  • Stream speed = (Downstream - Upstream)/2
Shortcut Zone Free

Tricks / shortcuts

If upstream and downstream speeds are given directly, use half-sum and half-difference immediately.

Memory Trick

Remember faster

If upstream and downstream speeds are given directly, use half-sum and half-difference immediately.

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Exam Tips

How to score with this topic

  • Read the exact requirement before choosing a shortcut.
  • Keep units, signs and percentage bases consistent.
  • Use the final few seconds to verify direction and magnitude.
Mistakes

Common traps to avoid

  • Using a memorised shortcut without checking its condition.
  • Skipping unit or base conversion.
  • Doing long arithmetic before identifying the underlying relation.
Solved Example

Step-by-step example

Practice example: A boat moves at 12 km/h in still water and the stream flows at 3 km/h. How much time will the boat take to cover 45 km downstream?

Solution: Downstream speed = 12 + 3 = 15 km/h. Time = 45/15 = 3 hours.

Practice Preview

Before you solve

  1. The downstream speed of a boat is 18 km/h and its upstream speed is 10 km/h. What is the speed of the boat in still water?
  2. A boat can travel at 15 km/h in still water. If the speed of the stream is 5 km/h, how long will it take to cover 60 km upstream?
  3. A boat travels downstream at 24 km/h and upstream at 16 km/h. Find the speed of the stream.
Learn the shortcut first

Shortcut before you solve

Separate boat speed from stream speed before calculating time or distance.

Featured shortcut

Use downstream = boat speed + stream speed and upstream = boat speed - stream speed.

Exam-use rule

Boat speed = (downstream + upstream) / 2; stream speed = (downstream - upstream) / 2.

Use this in 3 seconds

Add for boat speed, subtract for stream speed, then divide by 2.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Use downstream = boat speed + stream speed and upstream = boat speed - stream speed.

Tip: Still-water speed is half the sum of upstream and downstream speeds.
Real exam shortcut before you solve

A boat moves at 12 km/h downstream and 8 km/h upstream. Find its speed in still water.

Step 1

Still-water speed = (12 + 8) / 2.

Step 2

Boat speed = 10 km/h.

Rule

Boat speed = (downstream + upstream) / 2; stream speed = (downstream - upstream) / 2.

3-second trick

Add for boat speed, subtract for stream speed, then divide by 2.

Trap to avoid

Do not treat downstream speed as still-water speed.

Correct answer

10 km/h

Worked example

A boat moves at 12 km/h downstream and 8 km/h upstream. Find its speed in still water.

Thinking path
  • Downstream combines boat and stream speed.
  • Upstream subtracts stream speed.
  • Averaging removes the stream effect.

Final answer: 10 km/h

Why this is fast: The half-sum formula avoids simultaneous equations.

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Q1 Medium

A boat covers 54 km downstream in 3 hours. If its upstream speed is 12 km/h, find the speed of the stream.

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Downstream speed = 54/3 = 18 km/h. Stream speed = (18-12)/2 = 3 km/h.
Q2 Medium

A boat moves at 13 km/h in still water and the stream speed is 4 km/h. Find the total time required to travel 34 km downstream and 18 km upstream.

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Downstream speed = 17 km/h, so 34 km takes 2 hours. Upstream speed = 9 km/h, so 18 km takes 2 hours. Total = 4 hours.
Q3 Medium

A boat covers 30 km downstream in 2 hours and the same distance upstream in 3 hours. Find the speed of the stream.

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Downstream speed = 15 km/h and upstream speed = 10 km/h. Stream speed = (15-10)/2 = 2.5 km/h.
Q4 Easy

The downstream speed of a boat is 20 km/h and the stream speed is 4 km/h. How much time will the boat take to cover 48 km upstream?

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Still-water speed = 20-4 = 16 km/h. Upstream speed = 16-4 = 12 km/h. Time = 48/12 = 4 hours.
Q5 Easy

A boat covers 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream?

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Downstream speed = 12 km/h and upstream speed = 8 km/h. Stream speed = (12-8)/2 = 2 km/h.
Q6 Medium

The speed of a boat in still water is 15 km/h. It covers 72 km downstream in the same time in which it covers 48 km upstream. Find the speed of the s…

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: For equal time, downstream/upstream speed = 72/48 = 3/2. Thus (15+x)/(15-x)=3/2, giving x=3 km/h.
Q7 Easy

A boat travels downstream at 24 km/h and upstream at 16 km/h. Find the speed of the stream.

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Stream speed = (24 - 16)/2 = 4 km/h.
Q8 Easy

A boat can travel at 15 km/h in still water. If the speed of the stream is 5 km/h, how long will it take to cover 60 km upstream?

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Upstream speed = 15 - 5 = 10 km/h. Time = 60/10 = 6 hours.
Q9 Easy

The downstream speed of a boat is 18 km/h and its upstream speed is 10 km/h. What is the speed of the boat in still water?

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Speed in still water = (Downstream speed + Upstream speed)/2 = (18 + 10)/2 = 14 km/h.
Q10 Easy

A boat moves at 12 km/h in still water and the stream flows at 3 km/h. How much time will the boat take to cover 45 km downstream?

Concept type: Boat speed with and against stream Shortcut used: Use downstream = boat speed + stream speed and upstream = boat speed - stream speed. Quick hint: Still-water speed is half the sum of upstream and downstream speeds.
Quick idea: Downstream speed = 12 + 3 = 15 km/h. Time = 45/15 = 3 hours.
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FAQ

Frequently asked questions

How should I revise Boats and Streams for SSC CGL?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.